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I am a visiting assistant professor in the
Department of Mathematics at Texas A&M
University, after receiving my Ph.D. at Temple University in 2004.
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My research is focused on Algebraic Combinatorics, WZ-Algorithm,
Combinatorial Games and Pattern Avoidance.
Some of my work can be found in the list of publications below.
Some can be found here: Chomp,
Wythoff's Game
and Peg Solitaire.
There are also some results on
Ternary Square-free words.
I also worked on projects in computer science too.
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Publications:
- Two-Boundary Lattice Paths and Parking Functions
(with J. Kung, and C.H. Yan), accepted by Advances in Applied Mathematics
- Goncarov-Type polynomials and Applications in Combinatorics
(with Joseph P.S. Kung and Catherine Yan), preprint
- Coverage and Detection for Randomized Scheduling Algorithm in Wireless Sensor
Networks (with Yang Xiao, Hui Chen, Kui Wu, Bo Sun, Ying Zhang, Chong
Liu), submitted to IEEE Transactions on Parallel and Distributed Systems
- The C-polynomial of a knot
(with Stavros Garoufalidis), Algebraic and Geometric Topology, 6 (2006) 1001-1031.
- Wythoff's Sequence and N-Heap
Wythoff's Conjectures, Discrete Mathematics, 300 (2005), 180-195
- On Fraenkel's N-Heap Wythoff's Conjectures
(with Doron Zeilberger), Annals of Combinatorics 8 (2004), 225-238
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New Lower-Bound On The Number of Ternary Square-Free Words,
Journal of Integer Sequences,
Vol. 6 (2003), Article 03.3.2
- Improvements on Chomp,
Integers,
Vol. 2 (2002)
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Fully Refereed Conference Papers in Computer Science:
- Asymptotic Coverage and Detection in Randomized Algorithms in Wireless Sensor
Networks (with Yang Xiao, Ying Zhang, and Hui Chen), submitted to IEEE
WCNC 2007
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Geometric Robot Mapping (with R. Lakaemper, L. J. Latecki, and D. Wolter)
Int. Conf. on Discrete Geometry for Computer Imagery (DGCI), April 2005.
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Shape-Based Robot Mapping (with L. J. Latecki, R. Lakaemper, and D. Wolter),
27th German Conf. on Artificial Intelligence, Ulm, Germany, September 2004
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Building Polygonal Maps from Laser Range Data.
Proceedings of the Fourth International Workshop Cognitive Robotics, 2004, 56-62
- Construction of Global Maps with Polygonal
Objects from Laser Range Data (with L. J. Latecki, R. Lakaemper, and D.
Wolter), IASTED International Conference on Robotics and Applications
(RA 2004), Hawaii, USA, August 2004
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Dissertation:
- Computer-Assisted
and Computer-Generated Research in Combinatorial Games and
Pattern-Avoidance
(pdf, ps)
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Teaching Experience:
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Math 166
Topics in Contemporary Mathematics II at Texas A&M University, Spring 2007
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Math 171
Calculus I at Texas A&M University, Spring 2007
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Math 308
Differential Equations at Texas A&M University, Fall 2006
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Math 308
Differential Equations at Texas A&M University, Spring 2006
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Math 251
Engineering Mathematics III at Texas A&M University, Fall 2005
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Math 151
Engineering Mathematics I at Texas A&M University, Spring 2005
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Math 131
Applied Calculus at Texas A&M University, Fall 2004
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Calculus, College Algebra and Trigonometry,
College Algebra at Temple University, 1993-1994, 2002-2004
- Java
at
Temple University Center of
Advanced Technology (TUCAT), 2001
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Applied Operating System Concepts
at Villanova University, Fall 2001
- Advanced Mathematics at Jilin University, Jilin, China, 1989-1992
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Additional Documents:
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And of course, I have a personal life.
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